GCD of 918, 354, 540, 573 Calculator

Given Input numbers are 918, 354, 540, 573

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 918, 354, 540, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 354, 540, 573 is 3.

Therefore, GCD of numbers 918, 354, 540, 573 is 3

Given Input Data is 918, 354, 540, 573

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 573 is 3 x 191

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(918, 354) = 54162

GCD(918, 354) = ( 918 x 354 ) / 54162

GCD(918, 354) = 324972 / 54162

GCD(918, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 540

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 540) = 540

GCD(6, 540) = ( 6 x 540 ) / 540

GCD(6, 540) = 3240 / 540

GCD(6, 540) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 573

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 573) = 1146

GCD(6, 573) = ( 6 x 573 ) / 1146

GCD(6, 573) = 3438 / 1146

GCD(6, 573) = 3

GCD of 918, 354, 540, 573 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 986, 165, 718
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• GCD of 171, 928, 969, 352

1. What is the GCD of 918, 354, 540, 573?

GCD of 918, 354, 540, 573 is 3

2. Where do I get the detailed procedure to find GCD of 918, 354, 540, 573?

You can find a detailed procedure to find GCD of 918, 354, 540, 573 on our page.

3. How to find GCD of 918, 354, 540, 573 on a calculator?

You can find the GCD of 918, 354, 540, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.